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Finding the Fourth Proportional to 514,214.50, 771,617.10 and 401,578.53

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Solution

The fourth proportional to 514,214.50, 771,617.10 and 401,578.53 is: 602,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,214.50 : 771,617.10 = 401,578.53 : x
  2. Step 2: Convert to fraction form
    514,214.50/771,617.10 = 401,578.53/x
  3. Step 3: Cross multiply
    514,214.50x = 771,617.10 × 401,578.53
  4. Step 4: Simplify right side
    514,214.50x = 309,864,858,732.97
  5. Step 5: Solve for x
    x = 309,864,858,732.97/514,214.50
  6. Step 6: Final answer
    x = 602,598.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.